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The number 28375

28375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 227. Divisors (8): 1, 5, 25, 125, 227, 1135, 5675, 28375.

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How to work it out

  1. 1

    What is special about 28375: a Harshad number: divisible by its digit sum 25.

  2. 2

    28375 is composite. Its prime factorisation is

    28375=53Ɨ22728375 = 5^{3} \times 227
  3. 3

    The divisors add up to 35568; without 28375 itself that is 7193, so 28375 is deficient (7193 is less than 28375). Euler's totient φ(28375) = 22600 numbers up to 28375 share no factor with it.

  4. 4

    The digits of 28375 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28375 = 5^{3} \times 227 \]

28375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors35568
Euler totient φ(n)22600
Square805140625
Cube22845865234375
Square root168.448805 (= 5√1135)
Digit sum / digital root25 / 7
Collatz steps to 1103
Scientific notation2.8375 Ɨ 10410^{4}

28375 in other forms

FormValue
In wordstwenty-eight thousand three hundred and seventy-five
Binary (base 2)110111011010111
Octal (base 8)67327
Hexadecimal (base 16)6ED7
Base 31102220221
As time28375 seconds = 7 h 52 min 55 s

Is 28375 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (28375 Ć· 5 = 5675)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28375 a prime number?

No. 28375 = 535^{3} Ɨ 227, so it is divisible by 5.

What are the factors of 28375?

1, 5, 25, 125, 227, 1135, 5675, 28375.

What is 28375 in binary?

110111011010111 (hexadecimal 6ED7, octal 67327).

What is the square root of 28375?

About 168.4488, exactly 5√1135.

Is 28375 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 28375?

28375 is a Harshad number: divisible by its digit sum 25.

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